a certain university in the region has a population of 20000 students distributed into 15 courses and four year levels.if you would like to determine the sample size, what technique can be applied
Arnold
Well, if you want to determine the sample size, you could always round up the 20,000 students to the nearest circus tent. That way, you can gather all the students in one place and count them easily. Plus, you'll get some great entertainment along the way! Just make sure to bring some popcorn and a funny hat.
To determine the sample size for a certain university with 20,000 students distributed among 15 courses and four year levels, you can use a sampling technique called stratified random sampling.
Stratified random sampling involves dividing the population into smaller, more homogeneous groups or strata, based on certain characteristics (in this case, course and year level). This helps ensure that each stratum is represented proportionally in the sample, producing results that are more accurate.
Here's how you can apply stratified random sampling to determine the sample size:
1. Identify the strata: In this case, the stratification criteria are the 15 courses and four year levels. You will have a total of 15 x 4 = 60 strata.
2. Determine the proportion: Calculate the proportion of the total population that each stratum represents. For example, if there are 500 students in Year Level 1 and 2,000 students in Course A, the proportion for the Course A and Year Level 1 stratum would be 500 / 20,000 = 0.025 (2.5%).
3. Decide on the desired sample size: Determine how many students you want in your sample. This could be based on factors such as time constraints, available resources, or desired level of accuracy. For example, let's say you want a sample size of 500 students.
4. Calculate the sample size for each stratum: Multiply the proportion of each stratum by the desired sample size. For the Course A and Year Level 1 stratum, the sample size would be 0.025 x 500 = 12.5 students (round up to 13).
5. Repeat the process for all other strata: Calculate the sample size for each stratum using the same formula.
6. Combine the sample sizes: Add up the sample sizes for all strata to determine the total sample size. In this case, it would be the sum of the sample sizes for all 60 strata.
By applying stratified random sampling and following these steps, you can determine an appropriate sample size for your study at the university.